Solved: Numerical and Graphical Analysis An open box is to be made from a square piece
Chapter 2, Problem 89(choose chapter or problem)
Numerical and Graphical Analysis An open box is to be made from a square piece of material, 36 inches on a side, by cutting equal squares with sides of length from the corners and turning up the sides (see figure). (a) Verify that the volume of the box is given by the function (b) Determine the domain of the function. (c) Use a graphing utility to create a table that shows the box height and the corresponding volumes Use the table to estimate the dimensions that will produce a maximum volume. (d) Use a graphing utility to graph and use the graph to estimate the value of for which is maximum. Compare your result with that of part (c).
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